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Finding the Third Proportional to 44,707 and 96,673.75

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Solution

The third proportional to 44,707 and 96,673.75 is: 209,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,707 : 96,673.75 = 96,673.75 : x
  2. Step 2: Convert to fraction form
    44,707/96,673.75 = 96,673.75/x
  3. Step 3: Cross multiply
    44,707x = 96,673.75 × 96,673.75
  4. Step 4: Simplify right side
    44,707x = 9,345,813,939.06
  5. Step 5: Solve for x
    x = 9,345,813,939.06/44,707
  6. Step 6: Final answer
    x = 209,045.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.